QUESTION 21Given that 90% of the ZU students are female and that 5% are enrolled in College of Education, can we conclude that 95% (0.90+0.05) of ZUstudents are female or enrolled in College of Education?OYes, by the multiplication ruleO No, because the events are not independentNo, because the events are not mutually exclusiveYes, by conditional probabilities

Answered: Image /qna-images/answer/77a18aaf-d0a1-436c-8b99-7026c9b510ac.jpg

Answered: Given that 90% of the ZU students are…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Assuming that every time you roll dice the events are independent of each other (meaning that one roll does not affect the next roll), if you roll “5” three times in a roll, is it less likely that you will roll “5” on the next try compared to the tries before? Why not?
We are given that P(A | B) = 0.4 and P(A) = 0.3. Since P(A | B) ≠ P(A), the occurrence of event B changes the probability that event A will occur. This implies that A and B are ---Select--- not independent independent events.So, to determine P(A and B), we can apply the general multiplication rule for events. Recall that P(B) = 0.9. P(A and B) = P(B) · P(A | B)
A cell phone salesperson has kept records on the customers who visited his store. Forty percent of the customers who visited the store were female. Furthermore, the data show that 35% of the females who visited his store purchased a cell phone, while 20% of the males who visited his store purchased a cell phone. Let A1 represent the event that a customer is a female, A2 represent the event that a customer is a male, and B represent the event that a customer will purchase a phone.What is the probability that a female customer will purchase a cell phone?
Recently, Hector ran for president of the local school board. Of those who voted in the election, 80% had a high school diploma, and the other 20% did not. Hector got 65% of the vote of those with high school diplomas, while he got only 25% of the vote of those without high school diplomas. Let D denote the event that a randomly chosen voter (in the school board election) had a high school diploma and D denote the event that a randomly chosen voter did not have a high school diploma. Let H denote the event that a randomly chosen voter voted for Hector and H denote the event that a randomly chosen voter did not vote for Hector. Fill in the probabilities to complete the tree diagram below, and then answer the question that follows. Do not round any of your responses. (If necessary, consult a list of formulas.)
Suppose we define A as the event of obtaining {1, 3, 5}, and event B as the set {1,5,6}.(a) Are events A and B mutually exclusive events? Why or why not?(b) Are events A and B independent events? Why or why not?(c) What are the complements of events A and B, respectively, and their probabilities?
In the city of Savannah, Georgia, 22% of young couples take wedding pictures along the Riverwalk (R), and 42% of young couples take wedding pictures in one of the many historical squares (S) throughout the city. However, only 14% of young couples take wedding pictures along the Riverwalk and in the squares. Are these two events independent of each other? Include the reason why or why not. A. The events aren't independent, because P(R) × P(S) ≠ P(P and S). B. The events are independent, because P(R) × P(S) ≠ P(P and S). C. The events aren't independent, because P(R) × P(S) = P(P and S). D. The events are independent, because P(R) × P(S) = P(P and S)
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A group of students at a high school took a standardized test. The number of students who passed or failed the exam is broken down by gender in the following table. Determine whether gender and passing the test are independent by filling out the blanks in the sentence below, rounding all probabilities to the nearest thousandth. Male Female Passed P(male) = 28 14 Since P(male | pass) = so the events are Submit Answer Failed 18 9 and the two results are attemnt 1 of 2
ABC Airlines' first class cabins have 10 seats in each plane. ABC's overbooking policy is to sell up to 11 first class tickets, since cancellations and no-shows are always possible (and indeed are quite likely). For a given flight on ABC Airlines, there were 11 first class tickets sold. Suppose that each of the 11 persons who purchased tickets has a 20% chance of not showing up for the flight, and that the events that different persons show up for the flight are independent. (Please assume that there is no refund if the customer does not show up for the flight) (a) What is the probability that at most 5 of the 11 persons who purchased first class tickets show up for the flight? (b) What is the probability that exactly 10 of the 11 persons who purchased first class tickets show up for the flight? (c) Suppose that the cost of each first class ticket is $12,000. (Let's assume that this $12,000 contributes entirely to profit since the variable cost associated with a passenger on a flight…
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